000			02735cam a22003018i 4500
001			23379316
005			20250610121015.0
008			231108s2024 nyu b 001 0 eng
010			_a
020			_a9781108836623
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB217 R4 NBHM _qCSL
100	1		_aPemantle, Robin, _eauthor. _9812387
245	1	0	_aAnalytic combinatorics in several variables
250			_a2nd ed.
264		1	_aCambridge : _bCambridge University Press, _c2024.
300			_axix, 571 p. _c23 cm.
490			_aCambridge studies in advanced mathematics ; _v212
504			_aIncludes bibliographical references and index.
520			_aDiscrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview. Develops classical tools in topology and analysis from a computational point of view to motivate the study of abstract mathematical theories, and to show how pure mathematics can be applied to concrete applications in mathematics, computer science, and the natural sciences Provides an exposition that weaves in the considerable background material in a way that a graduate student can successfully tackle Allows readers to replicate computations and check their work in Sage worksheets Comprehensively surveys forty years of development of an emerging field, and shows that combinatorial problems can draw together many fields of mathematics, including algebraic geometry, harmonic analysis, and singularity theory
650		0	_aCombinatorial enumeration problems. _9812388
650		0	_aFunctions of several complex variables. _9812389
650		7	_a Discrete Mathematics. _9812390
700	1		_aWilson, Mark C. _eco- author. _9812391
700	1		_aMelczer, Stephen, _eco- author. _9812392
942			_2CC _n0 _cTEXL _hB217 R4 NBHM
999			_c1431559 _d1431559